作者tokyo291 (工口工口)
看板Statistics
标题[问题] 96年成大统研机率(数统)问题
时间Fri Jan 6 01:57:10 2012
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Xn and Sn^2 are the sample mean and variance of a random
sample with size n drawn from a population with
E(X^k) <∞ , ∀k<∞ , which of the following statements is (are) true ?
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i. Xn and Sn^2 are independent.
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ii. Xn and Sn^2 are asymptotically indpendent.
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iii. Xn and Sn^2 are asymptotically uncorrelated.
i我是想说用Basu's theorem,可是题目没有叙述是normal
ii和iii是想用若独立则必不相关来选择
叙述中的渐进不知道该用何种定理去解释
请问有高手可以帮忙吗><
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